Surveys in Mathematics and its Applications (Feb 2016)
A new subclass of close-to-convex functions
Abstract
In this work, we introduce and investigate an interesting subclass Xt(γ) of analytic and close-to-convex functions in the open unit disk U. For functions belonging to the class Xt(γ), we drive several properties including coefficient estimates, distortion theorems, covering theorems and radius of convexity.